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A school psychologist believes that a popular new hypnosis technique increases depression. The psychologist collects a sample of 22 students and gives them the hypnosis once a week for two months. Afterwards the students fill out a depression inventory in which their average score was 46.62. Normal individuals in the population have a depression inventory average of 49 with a variance of 169.00. What can the psychologist conclude with an α of 0.01?

a) What is the appropriate test statistic?

b)

Population:

Sample:

c) Compute the appropriate test statistic(s) to make a decision about H0.

(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)

critical value =

; test statistic =

a) What is the appropriate test statistic?

b)

Population:

Sample:

c) Compute the appropriate test statistic(s) to make a decision about H0.

(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)

critical value =

; test statistic =

a sales girl gave a change of 1.15 to a customer instead of 1.25. calculate her percentage error

For the equation y = 5 + 4x^2 + 5x^3

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

For the equation y = 2 + 3 + 4x^2 + 5x^3

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

For the equation y = 2 + 3 + 4x2 + 5x3

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

Write abstract of Runge Kutta Method and Runge Kutta Fehlberg Method.

Define local truncation error.

What is difference between local error and global error?

Define Local Error and Global Error.

Q.Briefly describe Error analysis in Runge kutta Fehlberg method.